GCF of 9690/313, 7330/6825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9690/313, 7330/6825 i.e 10/2136225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9690/313, 7330/6825.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9690/313,7330/6825?
Given fractions are 9690/313,7330/6825
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9690/313,7330/6825, numerators are 9690,7330
Denominators are 313,6825
The GCF of 9690,7330 is 10 .
LCM of 313,6825 is 2136225.
The greatest common factor of 9690/313,7330/6825 = [GCF of 9690,7330]/[LCM of 313,6825]= 10/2136225
Therefore, the GCF of 9690/313,7330/6825 is 10/2136225.
To find the highest common factor of 9690,7330, we have to find the factors of both numbers and list the highest common factor.
The factors of 9690 are 1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690
The factors of 7330 are 1, 2, 5, 10, 733, 1466, 3665, 7330
The HCF of 9690,7330 is 10.
Lets's calculate GCF of 9690,7330
| 2 | 9690, 7330 |
| 5 | 4845, 3665 |
| 969, 733 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9690,7330 By Matching Biggest Common Factor Method
Now, list down the factors of 9690
:1,2,3,5,6,10,15,17,19,30,34,38,51,57,85,95,102,114,170,190,255,285,323,510,570,646,969,1615,1938,3230,4845,9690
Now, list down the factors of 7330
:1,2,5,10,733,1466,3665,7330
Greatest Common Factor
We found the factors 9690,7330 . The biggest common factor number is the GCF number.
So the greatest common factor 9690,7330 is 10.
Lets's calculate LCM of 313,6825
Given numbers has no common factors except 1. So, there LCM is their product i.e 2136225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2136225
Therefore, the GCF of Fractions 9690/313,7330/6825 is 10/2136225
Least Common Multiple of 313,6825 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 313,6825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,6825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,6825) x common factors =1 x 1 = 1
LCM(313,6825) = ( 313 × 6825 ) / 1
LCM(313,6825) = 2136225 / 1
LCM(313,6825) = 2136225
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FAQs on GCF of Fractions of 9690/313, 7330/6825
1. What is the HCF of 9690,7330?
The HCF of 9690,7330 is 10
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9690/313, 7330/6825?
Answer: GCF of Numerators as per given numbers 9690/313, 7330/6825 is
GCF of Numerators i.e. for 9690,7330 is 10
LCM of denominators i.e. for 313,6825 is 2136225.
Thus, GCF of Fractions is 10/2136225.Finally, GCF of Fractions for 9690/313, 7330/6825 is 10/2136225.